Low Rank Prior and Total Variation Regularization for Image Deblurring

doi:10.1007/s10915-016-0282-x

	Low Rank Prior and Total Variation Regularization for Image Deblurring
	Ma, Liyan 1; Xu, Li2 ; Zeng, Tieyong 3,4
	2017-03-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	70 期号:3 页码:1336-1357
摘要	The similar image patches should have similar underlying structures. Thus the matrix constructed from stacking the similar patches together has low rank. Based on this fact, the nuclear norm minimization, which is the convex relaxation of low rank minimization, leads to good denoising results. Recently, the weighted nuclear norm minimization has been applied to image denoising. This approach presents state-of-the-art result for image denoising. In this paper, we further study the weighted nuclear norm minimization problem for general image recovery task. For the weights being in arbitrary order, we prove that such minimization problem has a unique global optimal solution in the closed form. Incorporating this idea with the celebrated total variation regularization, we then investigate the image deblurring problem. Numerical experimental results illustratively clearly that the proposed algorithms achieve competitive performance.
关键词	Image deblurring Low rank Nuclear norm Variational method
DOI	10.1007/s10915-016-0282-x
语种	英语
资助项目	National Natural Science Foundation of China[61402462] ; National Natural Science Foundation of China[11271049] ; National Natural Science Foundation of China[11201455] ; National Natural Science Foundation of China[11671383] ; National Natural Science Foundation of China[61503202] ; RGC[211911] ; RGC[12302714] ; RFGs of HKBU
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000394326400015
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24823
专题	计算数学与科学工程计算研究所
通讯作者	Zeng, Tieyong
作者单位	1.Chinese Acad Sci, Inst Microelect, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China 4.HKBU Inst Res & Continuing Educ, Shenzhen Virtual Univ Pk, Shenzhen 518057, Peoples R China
推荐引用方式 GB/T 7714	Ma, Liyan,Xu, Li,Zeng, Tieyong. Low Rank Prior and Total Variation Regularization for Image Deblurring[J]. JOURNAL OF SCIENTIFIC COMPUTING,2017,70(3):1336-1357.
APA	Ma, Liyan,Xu, Li,&Zeng, Tieyong.(2017).Low Rank Prior and Total Variation Regularization for Image Deblurring.JOURNAL OF SCIENTIFIC COMPUTING,70(3),1336-1357.
MLA	Ma, Liyan,et al."Low Rank Prior and Total Variation Regularization for Image Deblurring".JOURNAL OF SCIENTIFIC COMPUTING 70.3(2017):1336-1357.